What is the Greatest Common Factor of 1174 and 1190?

Greatest common factor (GCF) of 1174 and 1190 is 2.

GCF(1174,1190) = 2

We will now calculate the prime factors of 1174 and 1190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1174 and 1190.

How to find the GCF of 1174 and 1190?

We will first find the prime factorization of 1174 and 1190. After we will calculate the factors of 1174 and 1190 and find the biggest common factor number .

Step-1: Prime Factorization of 1174

Prime factors of 1174 are 2, 587. Prime factorization of 1174 in exponential form is:

1174 = 2¹ × 587¹

Step-2: Prime Factorization of 1190

Prime factors of 1190 are 2, 5, 7, 17. Prime factorization of 1190 in exponential form is:

1190 = 2¹ × 5¹ × 7¹ × 17¹

Step-3: Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1, 2, 587

Step-4: Factors of 1190

List of positive integer factors of 1190 that divides 1174 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1174 and 1190. The biggest common factor number is the GCF number.
So the greatest common factor 1174 and 1190 is 2.

Also check out the Least Common Multiple of 1174 and 1190